Pith Number

pith:BPAFLJS5

pith:2016:BPAFLJS5YIHRBJFQ3DIIFSZ4GK

not attested not anchored not stored refs pending

A Glivenko-Cantelli Theorem for almost additive functions

Christoph Schumacher, Fabian Schwarzenberger, Ivan Veselic

arxiv:1606.07664 v1 · 2016-06-24 · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPAFLJS5YIHRBJFQ3DIIFSZ4GK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:04:42.053635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bc055a65dc20f10a4b0d8d082cb3c32a10c7153d270afc52747b86d56abbb86

Aliases

arxiv: 1606.07664 · arxiv_version: 1606.07664v1 · doi: 10.48550/arxiv.1606.07664 · pith_short_12: BPAFLJS5YIHR · pith_short_16: BPAFLJS5YIHRBJFQ · pith_short_8: BPAFLJS5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BPAFLJS5YIHRBJFQ3DIIFSZ4GK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0bc055a65dc20f10a4b0d8d082cb3c32a10c7153d270afc52747b86d56abbb86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aba3df590b4a85e780816e013ce121c1f028081c8c223af703b1a998923e4c3d",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-24T12:46:54Z",
    "title_canon_sha256": "5d04e27bde92a222c991cdbd3a57f6e6997304088caf2df541fc24b265178997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07664",
    "kind": "arxiv",
    "version": 1
  }
}